| Berry phase in a generalized nonlinear two-level system |
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| 作者姓名： | 刘继兵 李家华 宋佩君 李伟斌 |
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| 作者单位： | Department of Physics, Huazhong University of Science and
Technology, Wuhan 430074, China;Department of Physics, Huazhong University of Science and
Technology, Wuhan 430074, China;Department of Physics, Huazhong University of Science and
Technology, Wuhan 430074, China;Wuhan Institute of Physics and Mathematics, Chinese
Academy of Sciences, Wuhan 430071, China |
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| 基金项目： | Project
supported partially by the National Natural Science Foundation of
China (Grant Nos
10575040 and 10634060). |
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| 摘 要： | In this paper, we investigate the behaviour of the geometric phase of a more generalized nonlinear system composed of an effective two-level system interacting with a single-mode quantized cavity field. Both the field nonlinearity and the atom-field coupling nonlinearity are considered. We find that the geometric phase depends on whether the index k is an odd number or an even number in the resonant case. In addition, we also find that the geometric phase may be easily observed when the field nonlinearity is not considered. The fractional statistical phenomenon appears in this system if the strong nonlinear atom-field coupling is considered. We have also investigated the geometric phase of an effective two-level system interacting with a two-mode quantized cavity field.
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| 关 键 词： | 几何相位 非线性系统 原子领域 原子耦合 |
| 收稿时间： | 2007-04-03 |
| 修稿时间： | 2007-08-02 |
Berry phase in a generalized nonlinear two-level system |
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| Liu Ji-Bing,Li Jia-Hu,Song Pei-Jun and Li Wei-Bin.Berry phase in a generalized nonlinear two-level system[J].Chinese Physics B,2008,17(1):38-42. |
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| Authors: | Liu Ji-Bing Li Jia-Hu Song Pei-Jun and Li Wei-Bin |
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| Institution: | Department of Physics, Huazhong University of Science and
Technology, Wuhan 430074, China; Wuhan Institute of Physics and Mathematics, Chinese
Academy of Sciences, Wuhan 430071, China |
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| Abstract: | In this paper, we investigate the behaviour of the geometric phase
of a more generalized nonlinear system composed of an effective
two-level system interacting with a single-mode quantized cavity
field. Both the field nonlinearity and the atom--field coupling
nonlinearity are considered. We find that the geometric phase
depends on whether the index $k$ is an odd number or an even number
in the resonant case.
In addition, we also find that the geometric phase may
be easily observed when the field nonlinearity is not considered.
The fractional statistical phenomenon appears in
this system if the strong nonlinear atom--field coupling is
considered. We have also investigated the geometric phase of an
effective two-level system interacting with a two-mode quantized
cavity field. |
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| Keywords: | geometric phase nonlinear
system atom--field coupling |
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